3(x+30)2x=180

Solution for 3(x+30)2x=180 equation:

3(x+30)2x=180

We move all terms to the left:

3(x+30)2x-(180)=0

We multiply parentheses

6x^2+180x-180=0

a = 6; b = 180; c = -180;
Δ = b2-4ac
Δ = 1802-4·6·(-180)
Δ = 36720
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{36720}=\sqrt{144*255}=\sqrt{144}*\sqrt{255}=12\sqrt{255}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(180)-12\sqrt{255}}{2*6}=\frac{-180-12\sqrt{255}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(180)+12\sqrt{255}}{2*6}=\frac{-180+12\sqrt{255}}{12}
$